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Year 9 Simultaneous Equations Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 9 simultaneous equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Simultaneous Equations

Year 9 Simultaneous Equations Worksheet — Level 2 — Practice Set 3 — Answers

Solve each pair of equations. Check your solution satisfies both equations.

1.Solve simultaneously: 4x + y = 33 and 4x − 4y = 8

Answer: x = 7, y = 5

  1. Subtract equation 2 from equation 1: 5y = 25
  2. y = 5
  3. Substitute into equation 1: 4x + 5 = 33, so x = 7
2.Solve simultaneously: 3x + y = 9 and 3x − 2y = 27

Answer: x = 5, y = −6

  1. Subtract equation 2 from equation 1: 3y = −18
  2. y = −6
  3. Substitute into equation 1: 3x − 6 = 9, so x = 5
3.Solve simultaneously: 2x + 2y = 12 and 2x − 4y = −12

Answer: x = 2, y = 4

  1. Subtract equation 2 from equation 1: 6y = 24
  2. y = 4
  3. Substitute into equation 1: 2x + 8 = 12, so x = 2
4.Solve simultaneously: 3x + 2y = 15 and 3x − y = 6

Answer: x = 3, y = 3

  1. Subtract equation 2 from equation 1: 3y = 9
  2. y = 3
  3. Substitute into equation 1: 3x + 6 = 15, so x = 3
5.Solve simultaneously: 2x + y = 22 and 2x − 3y = −10

Answer: x = 7, y = 8

  1. Subtract equation 2 from equation 1: 4y = 32
  2. y = 8
  3. Substitute into equation 1: 2x + 8 = 22, so x = 7
6.Solve simultaneously: 4x + 4y = 4 and 4x − 3y = −24

Answer: x = −3, y = 4

  1. Subtract equation 2 from equation 1: 7y = 28
  2. y = 4
  3. Substitute into equation 1: 4x + 16 = 4, so x = −3
7.Solve simultaneously: 4x + 2y = 0 and 4x − y = −12

Answer: x = −2, y = 4

  1. Subtract equation 2 from equation 1: 3y = 12
  2. y = 4
  3. Substitute into equation 1: 4x + 8 = 0, so x = −2
8.Solve simultaneously: 4x + y = 26 and 4x − 4y = −4

Answer: x = 5, y = 6

  1. Subtract equation 2 from equation 1: 5y = 30
  2. y = 6
  3. Substitute into equation 1: 4x + 6 = 26, so x = 5
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